GCD of 810, 314, 438, 388 Calculator

Given Input numbers are 810, 314, 438, 388

In the factoring method, we have to find the divisors of all numbers

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

GCD of numbers is the greatest common divisor

So, the GCD (810, 314, 438, 388) = 2.

Given numbers are 810, 314, 438, 388

The list of prime factors of all numbers are

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 314 are 2 x 157

Prime factors of 438 are 2 x 3 x 73

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 810, 314, 438, 388 is 2.

Given numbers are 810, 314, 438, 388

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(810, 314) = 127170

GCD(810, 314) = ( 810 x 314 ) / 127170

= 810 / 314

= 810

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

So, Greatest Common Divisor of 810, 314, 438, 388 is 2

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Given numbers are 810, 314, 438, 388
The greatest common divisor of numbers 810, 314, 438, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 314, 438, 388 is 2.

1. What is the GCD of 810, 314, 438, 388?

GCD of given numbers 810, 314, 438, 388 is 2

2. How to calculate the greatest common divisor of 810, 314, 438, 388?

We can find the highest common divisor of 810, 314, 438, 388 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 810, 314, 438, 388 i.e 2.

3. How can I use the GCD of 810, 314, 438, 388Calculator?

Out the numbers 810, 314, 438, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.